Question

Apply your knowledge of square roots to solve equations involving them. Show your step-by-step solution. Remember, each problem should have two solutions.

(7x-2)^2 = 256

Answer 1

remember to include the positive and negative roots


(7x-2)^2=256
sqrt both sides
7x-2=+/-16
add 2 to both sides
7x=2+/-16
divdide both sides by 7
x=(2+/-16)/7)

x=(2+16)/7=18/7=2 and 4/7
x=(2-16)/7=-14/7=-2

x=2 and 4/7 or -2